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labwork [276]
3 years ago
13

What is the slope-intercept form of an equation of a line that passes through the point (0,-1) and is perpendicular to 5x-y=3?

Mathematics
1 answer:
Leona [35]3 years ago
8 0

Answer:

y = -1/5x - 1

Step-by-step explanation:

Perpendicular lines slopes are negative reciprocals of each other.

Write the given equation in the slope-intercept form: y = mx + b

5x - y = 3

-y = -5x + 3

y = 5x - 3       multiply by -1

The slope of the given line is 5 ( the coefficient of the x-term).

The slope of the new equation will -1/5 (this is the negative reciprocal of 5).

Next find "b"  using y = mx + b, the new slope -1/5 and the point (0, -1)

y = mx + b

-1 = -1/5(0) + b

-1 = 0 + b

-1 = b  

Now write the equation y = -1/5x - 1

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6 0
3 years ago
Slope of (-7,18), (-15,5)
Ksju [112]

Answer:

The slope is

\frac{13}{ - 8}

Step-by-step explanation:

\frac{18 - 5}{ - 15 - ( - 7)}  \\  \frac{13}{ - 15 + 7}  \\  =  \frac{13}{ - 8}

4 0
3 years ago
Read 2 more answers
Find the slope of the line passing through the points <br> , −8−3<br> and <br> , −34<br> .
alukav5142 [94]

Slope of the line passing through two points <span><span>P=<span>(<span><span>x1</span>,<span>y1</span></span>) </span></span></span>and <span><span>Q=<span>(<span><span>x2</span>,<span>y2</span></span>)</span></span></span> is given by <span><span>m=<span><span><span>y2</span>−<span>y1/</span></span><span><span>x2</span>−<span>x1</span></span></span></span></span>.

We have that <span><span><span>x1</span>=−8</span></span>, <span><span><span>y1</span>=−3</span></span>, <span><span><span>x2</span>=−3</span></span>, <span><span><span>y2</span>=4</span></span>.

Plug given values into formula for slope: <span><span>m=<span><span><span>(4)</span>−<span>(<span>−3</span>)/</span></span><span><span>(<span>−3</span>)</span>−<span>(<span>−8</span>)</span></span></span>=<span>7/5</span></span></span>.

Now y-intercept is <span><span>b=<span>y1</span>−m⋅<span>x1</span></span></span> .

<span><span>b=−3−<span>(<span>7/5</span>)</span>⋅<span>(<span>−8</span>)</span>=<span>41/5.</span></span></span>

Finally, equation of the line can be written in the form <span><span>y=mx+b</span></span>.

<span><span>y=<span>7/5</span>x+<span>41/5</span></span></span>

5 0
3 years ago
Kaylen earned $14.87 selling cookies and $7.76 selling
____ [38]

Answer: $12.63

Step-by-step explanation:

$14.87 + $7.76 = $22.63

2pizzas x $5 = $10

$22.63 - $10 = $12.63

3 0
2 years ago
PLS HELP Leo is looking at two different savings plans. The first plan requires an initial deposit of $500 and grows at an annua
White raven [17]

Answer:

First and Second option choices

Step-by-step Explanation:

1st case:

Initial deposit (P) = 500

Annual interest rate (r) = 2.5%

Account balance after x years, y = P(1+r/100)×

y = 500(1+2.5/100)×

y = 500(1+0.025)×

y = 500(1.025)×

2nd case:

Initial deposit (P) = 400

Annual interest rate (r) = 2%

Account balance after x years, y = P(1+r/100)×

y = 400(1+2/100)×

y = 400(1+0.02)×

y = 400(1.02)×

8 0
3 years ago
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